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作者:MUIRHEAD, RJ; WATERNAUX, CM
作者单位:Harvard University
摘要:An asymptotic theory for canonical correlation analysis is given for multivariate populations with finite-4th moments. Asymptomatic distributions of the sample canonical correlation coefficients and of statistics used for testing hypotheses about the population coefficients involve the 4th order cumulants of the parent population and are sensitive to departures from normality. These asymptotic distributions have surprisingly simple forms in the case of elliptical populations; here a modified t...
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作者:RAY, SK; SAHAI, A
摘要:Two-parameter families of ratio-type and product-type estimators are proposed for a finite population mean based on simple random samples of observations on the variable of interest and a concomitant variable. The families contain estimators which have lower mean square error in practical situations than the usual ratio, product and sample mean estimators.
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作者:PETTITT, AN
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作者:ABRAHAM, B
摘要:A general model is introduced to encapsulate interventions in a multiple time series. The estimation of this model is discussed and a bivariate economic example is presented to illustrate the methods.
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作者:MOORE, BR
摘要:An analog of the Rayleigh test is developed for weighted vector data. [The data are from migratory Ipswich sparrows (Passerculus sandwichensis princeps) captured in mist nets and tested briefly in activity cages.] It is sensitive to nonrandom concentration or scatter of vector angles, and can be used also to test certain group differences or interactions. The test is based upon rank transformation of vector weights and calculation of a resultant; it is nonparametric. Critical values of resulta...
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作者:WAHRENDORF, J
摘要:By using a 1-parameter class of bivariate distributions proposed by Plackett (1965), methods are derived for analyzing the pattern of association in contingency tables with ordered categories. In an r .times. c table (r-1) (c-1) estimates of this parameter can be considered and all of them, or subsets of them, can be tested for equality. This can answer the question of whether the pattern of association is consistently the same over the whole table or not. Two well-known examples are considere...
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作者:GLASER, RE
摘要:Exact expressions are obtained for the density and distribution of Bartlett''s (1937) statistic for testing for homogeneity of variances of k normal populations, when random samples of not necessarily the same size are taken. The latter expression facilitates computation of exact critical values. An illustrative computation is presented.
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作者:HALL, WJ; WELLNER, JA
摘要:For arbitrarily right-censored data, the Kaplan-Meier product-limit estimator .**GRAPHIC**. provides a nonparametric estimate of the survival function S0 = 1 - F0. Large-sample simultaneous confidence bands are provided for S0, centered at .**GRAPHIC**. The derivation uses the weak convergence of .**GRAPHIC**. - S0(t)}, on a finite interval, to a Gaussian process, a theorem of Breslow and Crowley (1974), and transforms both the time and space axes of the limiting process to achieve a Brownian ...
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作者:SCHOENFELD, D
摘要:A class of omnibus chi-squared goodness-of-fit is presented for the model, relating failure time to covariate values, proposed by Cox (1972). These tests are based on the expected and observed frequency that a data point, representing a failure with associated covariates, falls into one of L mutually exclusive categories. Different partitions of the space of covariate values and failure time will yield different tests. Certain partitions are suggested for the goodness-of-fit problems commonly ...
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作者:COX, MAA; PLACKETT, RL
摘要:The analysis of some contingency tables is based on hierarchical log linear models. Inferences about sets of parameters can be made from conditional distributions. Three ways of improving the asymptotic methods generally used in practice are discussed. They comprise better approximations to moments of cell frequencies than those derived from the iterative scaling procedure, exact distributions obtained by enumerating all tables consistent with given marginal totals and simulated random samplin...